the equal sides of an isosceles trapezoid eah measure 5, and its altitude measures 4. if the area of the trapezoid is 48, find the lengths of its bases.

LALA

To find the lengths of the bases of the isosceles trapezoid, we can use the formula for the area of a trapezoid, which is given by:

Area = (1/2) * (sum of the bases) * height

In this case, we are given that the area of the trapezoid is 48, the equal sides (bases) measure 5, and the height (altitude) is 4.

Let's substitute these values into the formula and solve for the sum of the bases.

48 = (1/2) * (sum of the bases) * 4

Multiply both sides of the equation by 2 to get rid of the fraction:

96 = (sum of the bases) * 4

Now, divide both sides of the equation by 4 to isolate the sum of the bases:

(sum of the bases) = 96 / 4

(sum of the bases) = 24

Since the trapezoid is isosceles, it means that the lengths of the bases are equal. Let's assume the length of each base is x.

Therefore, we have the equation:

2x = 24

Divide both sides of the equation by 2 to solve for x:

x = 12

So, the lengths of the bases of the isosceles trapezoid are both 12.